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101200122040 = 2359772589563
BaseRepresentation
bin101111000111111111…
…1110101000010111000
3100200012210212212012011
41132033333311002320
53124224212401130
6114253553455304
710211555562403
oct1361777650270
9320183785164
10101200122040
1139a119155a6
1217743871534
13970a347624
144c805c2d3a
15297479b52a
hex178fff50b8

101200122040 has 32 divisors (see below), whose sum is σ = 227933423280. Its totient is φ = 40438600192.

The previous prime is 101200122029. The next prime is 101200122043. The reversal of 101200122040 is 40221002101.

It is a happy number.

101200122040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 101200122040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200122043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1255702 + ... + 1333861.

Almost surely, 2101200122040 is an apocalyptic number.

101200122040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200122040 is an abundant number, since it is smaller than the sum of its proper divisors (126733301240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101200122040 is a wasteful number, since it uses less digits than its factorization.

101200122040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590551 (or 2590547 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101200122040 its reverse (40221002101), we get a palindrome (141421124141).

The spelling of 101200122040 in words is "one hundred one billion, two hundred million, one hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 977 1954 3908 4885 7816 9770 19540 39080 2589563 5179126 10358252 12947815 20716504 25895630 51791260 103582520 2530003051 5060006102 10120012204 12650015255 20240024408 25300030510 50600061020 101200122040